the demography of native and non-native plant species in
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ORIGINAL ARTICLE1
2 The demography of native and non-native plant species3 in mountain systems: examples in the Greater Yellowstone4 Ecosystem
5 Fredric W. Pollnac • Bruce D. Maxwell •
6 Mark L. Taper • Lisa J. Rew
7 Received: 28 November 2012 / Accepted: 2 July 20138 � The Society of Population Ecology and Springer Japan 2013
9 Abstract In mountainous areas, native and non-native
10 plants will be exposed to climate change and increased
11 disturbance in the future. Non-native plants may be more
12 successful than natives in disturbed areas and thus be able
13 to respond quicker to shifting climatic zones. In 2009,
14 monitoring plots were established for populations of a non-
15 native species (Linaria dalmatica) and a closely related
16 native species (Castilleja miniata) on an elevation gradient
17 in the Greater Yellowstone Ecosystem, USA. Population
18 data were collected twice during the growing season for
19 3 years and used to calculate population vital rates for both
20 species, and to construct population dynamics models for
21 L. dalmatica. Linaria dalmatica vital rates were more
22 associated with climatic/environmental factors than those
23 of C. miniata. Population dynamics models for L. dalm-
24 atica showed no trend in population growth rate (k) vs.
25 elevation. The highest k corresponded with the lowest
26 vegetation and litter cover, and the highest bare ground
27 cover. All populations with k\ 1 corresponded with the
28 lowest measured winter minimum temperature. There was
29 a negative association between k and number of weeks of
30 adequate soil moisture, and a weak positive association
31 between k and mean winter minimum temperature.
32Variance in vital rates and k of L. dalmatica suggest broad
33adaptation within its current range, with the potential to
34spread further with or without future changes in climate.
35There is evidence that k is negatively affected by persistent
36soil moisture which promotes the growth of other plant
37species, suggesting that it might expand further if other
38species were removed by disturbance.
39
40Keywords Climate change � Elevation gradient �41Invasive species � Linaria dalmatica �42Population model � Vital rates
43Introduction
44Plant communities in mountainous areas of the world are
45facing an uncertain future. Climate change has the potential
46to alter both native (Crimmins et al. 2009; Engler et al.
472009) and non-native (Becker et al. 2005; McDougall et al.
482005; Marini et al. 2009; Pauchard et al. 2009) plant spe-
49cies ranges. The broad geographic ranges and climatic
50tolerances of non-native plant species, as well as charac-
51teristics that may facilitate rapid range shifts in the face of
52climate change (Hellmann et al. 2008), could result in
53increased success of non-native plants at higher elevations
54(McDougall et al. 2005; Crimmins et al. 2009). In addition,
55increased and altered human land use in mountainous areas
56could result in more opportunities for non-native plant
57species establishment due to both an increase in dispersal
58vectors and in suitable habitat (McDougall et al. 2009;
59Pauchard et al. 2009).
60In general, non-native plant species richness tends to
61decrease at higher elevations in most geographical contexts
62(Pauchard et al. 2009; Alexander et al. 2011; Seipel et al.
632012). This response has been observed in some cases to be
A1 F. W. Pollnac (&) � B. D. Maxwell � L. J. Rew
A2 Department of Land Resources and Environmental Sciences,
A3 Montana State University, Leon Johnson Hall, Bozeman,
A4 MT 59717, USA
A5 e-mail: [email protected]
A6 M. L. Taper
A7 Department of Ecology, Montana State University,
A8 Bozeman, MT, USA
A9 M. L. Taper
A10 Department of Biology, University of Florida,
A11 Gainesville, FL, USA
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64 linear (Becker et al. 2005; McDougall et al. 2005), and to
65 be hump shaped in others (Tassin and Riviere 2003; Are-
66 valo et al. 2005). One recent exception to this generality
67 was found by Paiaro et al. (2011), who observed that non-
68 native species richness increased at both ends of an ele-
69 vation gradient in central Argentina. When considering
70 individual non-native species, several studies have noted
71 decreases in occurrence and population size and/or vital
72 rates with elevation (Liang et al. 2008; Alexander et al.
73 2009; Monty and Mahy 2009; Trtikova et al. 2010; Pollnac
74 et al. 2012) and at least one has noted increased success at
75 higher elevations (Ansari and Daehler 2010).
76 The presence of some exceptions to the general trends
77 suggests that elevation is not the only explanatory factor
78 related to non-native plant species distributions in moun-
79 tain systems, and it is clear that there are several other
80 factors besides elevation (i.e., climatic and environmental
81 characteristics) which influence non-native plant species in
82 these areas. Furthermore, the effects of these factors on any
83 given species could manifest themselves in subtle ways.
84 For example, imagine that seed viability is the only vari-
85 able negatively affected by climatic and/or environmental
86 factors for a particular species at high elevations, and all
87 other variables (such as stem density) remain constant at
88 high elevations. If seed viability is not measured, an
89 important relationship could go unnoticed and some
90 incorrect conclusions could be drawn based only on mea-
91 surements of stem density. Thus, if questions related to the
92 future of a non-native species in a mountainous area are to
93 be addressed, population level demographic details of the
94 species must be collected throughout its current range.
95 However, we know of no demographic studies for indi-
96 vidual non-native species which incorporate site-specific
97 measurements of climate and environmental factors.
98 The differences in the population growth rate (k) of a
99 plant species between its range limits and its interior range
100 have been hypothesized to vary based on whether or not
101 that species has reached the limits of its potential range
102 (Gaston 2003; Angert 2006; Eckhart et al. 2011). For
103 example, if a species has filled its potential range, k at the
104 margins should be lower than k for the interior populations
105 because the marginal populations have theoretically
106 encountered some limiting factor which suppresses growth
107 and prevents them from expanding further (Gaston 2003,
108 and references therein). Alternatively, for a species that has
109 not yet reached the limits of its potential range, marginal
110 populations may exhibit higher k values because the spe-
111 cies is in suitable habitat where limiting intraspecific
112 density dependence is absent (Gaston 2003, and references
113 therein). Eckhart et al. (2011) take this concept a step
114 further, stating that: (1) covariation of k with environ-
115 mental factors known to influence k across a species range
116 suggests lack of adaptation as the primary limit to a
117species’ current range and, (2) lack of association between
118k and range position, and increases in k at range limits both
119implicate dispersal as the primary factor defining range
120limits. Therefore, comparisons of k for interior and range
121limit populations could provide insight into whether or not
122a non-native species has reached the limits of its potential
123range within an area, and what the barriers to expansion
124may be. In a mountainous area, evaluation of k for a spe-
125cies throughout its current range allows for an assessment
126of the potential for the species to become established in
127upslope or down slope habitats under current climate
128conditions. Adding site-specific climatic and environmen-
129tal data further allows one to hypothesize about possible
130changes in range due to changing climatic and environ-
131mental conditions.
132The first objective of this study was to examine the
133relationships between specific population vital rates and
134site-specific environmental and climatic factors for a short
135lived perennial non-native plant species, Linaria dalmatica
136(L.) Mill, along an elevation gradient in the Greater Yel-
137lowstone Ecosystem (GYE). Using this species gave us the
138opportunity to test some of the aforementioned assump-
139tions about k in relation to range limits in the context of a
140mountain system using a non-native species with a known
141date and location of introduction (1957, in the town of
142Mammoth, B. Maxwell, personal communication). We
143hypothesized that vital rates of L. dalmatica would vary
144along the studied gradient in relation to climatic and
145environmental predictor variables, indicating the potential
146for climate induced changes in population dynamics. Our
147second objective was to compare the trends in vital rates
148for L. dalmatica to those of a closely related perennial
149native species, Castilleja miniata (Douglas ex Hook.),
150found along a similar elevation gradient. We hypothesized
151that vital rates of C. miniata would not vary throughout its
152distribution as much as those of L. dalmatica since it has
153been present in the area for a much longer period of time.
154This hypothesis relied on two assumptions. The first was
155that the residence time of L. dalmatica on the landscape has
156not been sufficient for this species to go through enough
157colonization/extinction events to have a distribution pattern
158which is matched with its ideal habitat (e.g., it is still found
159in areas where it might not be able to persist in the long
160term). The second was that the environment of the study
161was not subject to any recent abrupt and heterogeneous
162disturbances which could result in variable success of
163either species regardless of the historical suitability of the
164environment. To the best of our knowledge, both of these
165assumptions are valid. We do not believe that recent/
166ongoing climate change violates the second assumption
167because it is imposed on a broad scale compared to the
168ranges of these two species within the study area. Our third
169objective was to model population growth of L. dalmatica
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170 throughout its current range in our study area. We
171 hypothesized that population growth rates would be lower
172 at the upper elevation range limit of this species, indicating
173 a potential climatic barrier.
174 Methods
175 Study area and site selection
176 This study was conducted along an elevation gradient
177 within the GYE in the vicinity of Gardiner, MT,
178 45�0106000N, 110�4203300W, 1,598 m elevation. Three roads
179 were chosen as elevation transects in the area. Each of
180 these transects proceeded from elevations of approximately
181 1,700 m near the bottom of the Yellowstone River Valley
182 in Gardiner, MT for variable distances to elevations just
183 short of the highest elevation extent for the specific tran-
184 sect, but represented the highest point of road access
185 (58 km–2,900 m for transect 1, 18 km–2,400 m for tran-
186 sect 2, and 15 km–2,200 m for transect 3). Transect 1 was
187 within Yellowstone National Park, and the other two were
188 just north of the park boundary on United States Forest
189 Service roads.
190 During July and August of 2008, the three elevation
191 transects were surveyed for the presence of L. dalmatica
192 and C. miniata, both hereafter referred to collectively as the
193 test species. During initial surveys, an effort was made to
194 identify every distinct population of the test species present
195 within 5 to approximately 200 m of the elevation transects
196 (roads) from their lowest elevations up to the highest extent
197 that was navigable in a vehicle. Linaria dalmatica and C.
198 miniata occurred from 1,700 to 2,300 m and from 2,100 to
199 2,800 m along the elevation gradient, respectively. During
200 early spring 2009, three study sites were established for
201 each species on each one of the three elevation transects
202 (Fig. 1). Sites were selected from the pool of surveyed sites
203 to represent a relatively even spread of elevations along
204 each elevation transect. The sites essentially represented
205 the low, medium, and high ranges for L. dalmatica and C.
206 miniata in their respective local elevation distributions.
207 Four 1 m2 monitoring plots were established randomly at
208 each one of these sites by throwing quadrats in areas where
209 the test species was present. For L. dalmatica, it was not
210 possible to select sites which had a uniform population size
211 across the elevation gradient, and quadrats were thus dis-
212 tributed across a variable number of populations (distinct
213 patches of the species separated by [10 m) within the
214 spatial extent of each site (2,000–4,000 m2). Populations
215 ranged in size from 5 to 530 m2 for five out of the nine
216 sites, with the remaining four sites containing larger pop-
217 ulations of 1,000–3,000 m2. All C. miniata sites contained
218 populations of the species which were \200 m2 in size.
219Measurement of climate and environmental variables
220Temperature was measured every hour at each site using
221one Lascar EL-USB 1 temperature data logger (tempera-
222ture logger) placed *0.5 m off the ground during the
223growing seasons (June to early September) of 2010 and
2242011, and the winters of 2009/10 and 2010/11. Soil
225moisture was measured weekly at each site during the
226growing seasons of 2010 and 2011 using three Delmhorst
227gypsum blocks installed at random locations throughout
228each site at a depth of 15 cm in the ground following the
229procedure described in Aho and Weaver (2008).
230Throughout the growing seasons of 2010 and 2011, pre-
231cipitation was measured weekly at each site using one rain
232gauge per site (Taylor Pro gauge).
233Biotic environmental variables (canopy cover, percent
234of bare ground, litter, and vegetation cover) were estimated
235by the same observer at all sites during the growing season
236of 2011 from six random locations within the site for each
237variable except canopy cover, which was estimated at 4
238random locations. Soil samples were taken to a depth of
23910 cm (approximately 285 cm3) from ten random locations
240at each site during the growing season of 2010 and ana-
241lyzed for abiotic environmental variables (pH, organic
242matter, total nitrogen, potassium, and plant available
243phosphorous content).
244Estimation of vital rates
245Vital rates were collected for the purposes of: (1) deter-
246mining the influences of climate and environmental factors
247on the vital rates for each species, (2) comparing the degree
248of association between vital rates and climatic/environ-
249mental variables among the test species, and (3) building
250demographic population models for L. dalmatica. Plots
251were monitored during early June and late August of each
252field season from 2009 to 2011. During each session, a
2531 m2 frame divided into 16 parts was placed over each plot.
254The location of each stem in the grid was then drawn on a
255piece of tracing paper, denoting seedlings, vegetative
256stems, or flowering stems with distinct symbols. Stems
257which were obviously arising from a common root crown
258were drawn to be touching on the mapping data sheet, such
259that individuals could be counted more precisely.
260To estimate vital rates from early spring to late summer,
261sheets from subsequent monitoring sessions were overlaid
262(for example August 2009 was placed over June 2009) for
263each plot, and the number of stems which had: (1) transi-
264tioned from vegetative to flowering, (2) stayed vegetative,
265(3) died, or (4) appeared since the previous period were
266counted, as were the number of individuals which had
267survived, died, or appeared since the previous period.
268Similarly, looking at the time period from August to the
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269 following June, the number of individuals that survived,
270 perished, or appeared since the previous period was
271 recorded. This yielded information on stem production,
272 spring individual survival, transition to flowering stem,
273 estimated vegetative ramet production (for L. dalmatica
274 only), and fall individual survival rates. So few seedlings
275 were observed that seedling survival could not be estimated
276 from these data.
277 Linaria dalmatica seed production was estimated by
278 counting the number of seed capsules present within each
279 plot at each site during late August of each field season.
280Seed production per seed capsule was estimated by sam-
281pling forty-five capsules from plants outside of the moni-
282toring plots at each site. Fifteen seed capsules were
283collected from each of the lowest, middle, and highest
284regions of the stems, with no more than one capsule being
285collected from a given stem. Capsules were then dried at
286constant temperature (43 �C) and seeds within were
287counted. To evaluate germination rates, four batches of 50
288seeds were collected per site and placed in a germination
289chamber at 15 �C alternating 12 h light/12 h dark and
290monitored weekly for 5 weeks. To evaluate seedling
Fig. 1 Map of study area
showing plot locations
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291 survival, 5 pots of 5 seedlings at the cotyledon stage and 5
292 pots containing ten seeds (both using seed from the loca-
293 tion of placement) were randomly placed at each site in late
294 May/early June of 2011 and then monitored until mid-
295 September. Pots were placed so that they were level with
296 the ground surface and were not given any supplemental
297 irrigation or fertilization.
298 Seed predation data were also collected at each site
299 using four randomly located 8 cm 9 8 cm plastic trays.
300 Each tray had 2 holes drilled in the bottom, one for
301 drainage and one for securing the tray to the ground using a
302 nail. Trays were placed such that they were flush with the
303 ground surface. They were filled with sand, and 50 L.
304 dalmatica seeds were scattered on the surface of the sand.
305 After 10 days, the remaining seeds were collected and
306 counted. These data were used to refine seed production
307 rates for each site in the population model.
308 Seed production, germination, longevity, predation, and
309 seedling survival were used in conjunction with the vital
310 rates described above to model the population dynamics of
311 L. dalmatica. The only rate used in the models which was
312 not based on field measurements was seedling competitive
313 ability. Since seedlings of L. dalmatica are weak compet-
314 itors with established vegetation (Gates and Robocker
315 1960; Robocker 1970), germinable seed crop was further
316 reduced in the model by multiplying by the mean propor-
317 tion of bare ground measured at each site, assuming ran-
318 dom dispersal and random seed decay. That is, if a seed
319 landed on existing vegetation, it was expected to die, but if
320 it landed on bare soil, it was subject to germination. This
321 assumption is supported by previous work (F.W. Pollnac
322 and L.J. Rew, unpublished data), in which the presence and
323 cover of L. dalmatica was found to be positively associated
324 with increased bare ground, suggesting that establishment
325 of this species is linked to increased bare ground. It is quite
326 possible that seed decay and predation could also be related
327 to the environment in which a seed lands, but we did not
328 have data to test this.
329 For C. miniata, an estimate of seed production was
330 achieved by randomly harvesting 10 flowering heads from
331 outside of the monitoring plots at each of the C. miniata
332 sites in the late summer of 2009. These flowering heads
333 were dried at constant temperature (43 �C) for several
334 weeks and then dissected such that for each seed capsule,
335 the number of seeds could be counted. Seed germination
336 and seed decay rates for this species were not measured.
337 Data analysis
338 Variance in vital rates along elevation gradients
339 All analyses were performed using R 2.14.1 (R-Develop-
340 ment-Core-Team 2011). Before producing any population
341dynamics models, we wished to see if vital rates varied
342from site to site for each test species, and to see if there was
343any difference between species in the degree to which vital
344rates were associated with climatic/environmental vari-
345ables. To address these objectives, vital rate data collected
346directly from study plots [spring and fall individual sur-
347vival, stem production, transition to flowering stem, veg-
348etative ramet production (for L. dalmatica only), and seed
349production] from different years were averaged for each
3501 m2 plot, such that in the analysis, each plot at each site
351had one vital rate value, yielding a sample size of 4 per site
352for each vital rate for each species. Climate data collected
353in successive years (Table 1) were averaged for each site
354because the overarching interest was in how the trajectory
355of population growth might be affected by changes in vital
356rates as influenced by climatic factors over time. Although
357yearly fluctuations in climatic variables likely produce
358fluctuations in vital rates, the time lag between the two is
359unknown, and population growth over time is a product of
360the averages of such fluctuations.
361We employed a bootstrapped stepwise model selection
362procedure for analyzing these data to avoid pseudo-repli-
363cation imposed by the structure of our study. For each of
3641,000 bootstrap replicates, a random dataset was generated
365from our data by selecting 9 sites with replacement from
366our pool of sites. An information criterion approach
367(Burnham and Anderson 2002) was then used to determine
368which set of environmental and climatic predictor variables
369best explained the variance in each of the vital rates ana-
370lyzed for each iteration. Full models contained elevation
371and all of the environmental and climatic predictor vari-
372ables (Table 1) and any second order polynomial terms
373deemed necessary by examination of diagnostic plots of
374each vital rate plotted against individual predictor vari-
375ables. A stepwise model selection procedure with both
376backward and forward selection was applied to the full
377model, and the resulting best model (based on Akaike’s
378Information Criterion, AIC) for each iteration was recor-
379ded. Bar graphs depicting the number of best models
380containing different numbers of environmental/climatic
381variables were then qualitatively examined to compare the
382degree of association between vital rates and environ-
383mental/climatic variables for each species. Cases in which
384models without environmental/climatic variables were
385selected as the best model in 75 % of iterations were
386treated as evidence that these variables had little influence
387on that particular vital rate.
388Population growth rate of Linaria dalmatica
389along elevation gradients
390Population dynamics were modeled for each site using a
391difference equation model (to accommodate the two
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392 transitions) which was based on the vital rate data collected
393 from each of the four individual plots. At each site, k was
394 estimated from vital rates in each of 3 years for each of the
395 four plots. We wished to compare k among sites accounting
396 as best we could for both temporal variation among years
397 and spatial variation among plots. We characterized the
398 overall k at each site as the arithmetic mean over plots of
399 the geometric mean k for each plot over years. We assessed
400 the uncertainty in this measure with a parametric bootstrap
401 as follows. For each site, we fit a linear mixed model
402 (function lmer in package lme4 in R) to the 12 log trans-
403 formed ks with the overall mean as a fixed effect, and
404 variance components for year, plot, and residual error. For
405 each of 1,000 bootstrap replicates, we generated 12
406 observed log ks by combining the site mean with 3 years
407 effects, 4 plot effects, and 12 residual errors each drawn
408 from centered normal distributions using the appropriate
409 variances. The log ks were back transformed to ks and the
410 arithmetic mean of the geometric mean ks was calculated
411 and stored.
412 Separate mixed effects models were used to quantify the
413 trend in k in response to the fixed effects of elevation and
414 each individual climatic or environmental variable, using
415 the k values from the parametric bootstrap. Site was
416included as a random effect to account for the temporal
417pseudo-replication inherent in the simulation and the spatial
418pseudo-replication imposed by study design. In addition,
419median k values were assessed qualitatively for differences
420based on site characteristics using box and whisker plots.
421Although this qualitative assessment cannot generate any
422statements of statistical significance, we believe it is of
423value for its potential to elucidate trends which may be
424biologically significant which will aid in generating new
425hypotheses to test more quantitatively in the future. We
426looked for obvious shifts from k [ 1 to k \ 1 based on
427environmental characteristics. Instances where the highest
428or lowest median value of k was positioned at either end of
429the range of the climatic or environmental variable being
430examined were viewed as indications that extreme values of
431k may be related to extreme levels of the variable.
432Results
433Linaria dalmatica and Castilleja miniata vital rates
434Linaria dalmatica sites were found to be variable in terms
435of both climate and environmental conditions (Table 1).
Table 1 Environmental and climate characteristics of the nine L. dalmatica study sites
Site 1_1 1_2 1_3 2_1 2_2 2_3 3_1 3_2 3_3
Bare ground (%) 54.5 25.3 67.0 32.2 47.3 37.5 80.7 38.3 38.0
Canopy closure (%) 0.0 8.0 3.0 0.0 23.8 30.9 0.0 0.0 18.7
Elevation (m) 1737 2002 2237 1876 2015 2318 1785 1875 2159
Growing degree (days)* 1117.1 572.3 888.5 NA 960.6 781.4 1224.1 NA 895.8
Gs. frost free (days) 91 74 89 89 91 86 91 90 87
Gs. mean min. temperature (�C) 7.30 2.76 6.46 6.05 7.07 5.21 8.16 6.16 5.23
Gs. min. temperature (�C) -1.8 -4.8 -1.8 -3.0 -1.5 -3.0 -0.8 -2.5 -3.3
Litter cover (%) 16.7 19.8 8.0 30.5 12.7 6.2 3.0 24.0 20.2
Soil pH 7.1 6.5 6.9 7.1 7.2 6.6 7.1 6.7 6.7
Precipitation (cm) 6.1 7.0 5.1 6.1 7.4 10.5 3.7 6.2 7.5
Total soil nitrogen (ppm) 1.5 4.5 2.5 2.0 1.5 5.5 1.5 3.0 1.5
Soil organic matter (%) 3.6 9.3 4.3 4.9 2.4 4.2 3.2 7.7 5.3
Soil phosphorous (ppm) 13.0 29.0 27.0 19.0 10.0 27.0 13.0 29.0 26.0
Soil potassium (ppm) 534.0 560.0 323.0 553.0 419.0 442.0 478.0 533.0 340.0
Vegetation cover (%) 28.8 54.8 26.8 37.3 40.0 56.3 16.5 37.7 41.8
Weeks of ad. soil moist. 6.0 7.0 7.5 6.0 6.5 7.0 4.0 6.0 7.0
Wint. frost (days) 211.5 251.0 224.0 NA 217.5 168.5 206.0 NA 230.5
Wint. mean min. temperature (�C) -5.1 -6.4 -6.4 NA -4.3 -3.3 -4.4 NA -4.0
Wint. min. temperature (�C) -29.3 -29.3 -29.3 NA -25.3 -20.3 -26.8 NA -23.8
For site, the first number is the transect identifier, and the second number is the site identifier (1 low elevation, 2 middle elevation, 3 high
elevation)
Gs growing season, Wint. winter, min. temperature minimum temperature, ad. soil moist adequate soil moisture (C-1.5 MPa), NA not available
due to failure of data logger
* Calculated with base 10 �C
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436 Vital rates also qualitatively appeared to vary from site to
437 site (Fig. 2). Castilleja miniata sites also showed vari-
438 ability in climate and environmental conditions (Table 2),
439 but vital rates appeared to be less variable in relation to
440 both climate and environmental conditions than those of L.
441 dalmatica (Fig. 3). For all of the measured C. miniata vital
442 rates except seed production, the majority of best models
443 from the boot-strapped analysis did not contain any cli-
444 matic/environmental variables (Fig. 4). For L. dalmatica,
445 the majority of best models included environmental or
446 climatic variables for most vital rates, except the spring
447 survival and seed production vital rates (Fig. 5). The fre-
448 quency with which different climatic/environmental vari-
449 ables were included in best models for each species is
450 displayed in Table 3.
451 Population growth rate of Linaria dalmatica
452 The mean projected population growth rate (k) for L.
453 dalmatica was found to be variable between sites (Fig. 6)
454 but there was no clear trend in k along the elevation gra-
455 dient (Fig. 7). Based on the mixed effects models, there
456 was a negative association between number of weeks of
457 adequate soil moisture (C-1.5 Mpa) and k (P = 0.04), and
458 the suggestion of a positive association between winter
459mean minimum temperature and k (P = 0.07). From the
460box plots, there were very few instances in which the
461distribution of k showed any consistent pattern across
462levels of the climatic and environmental variables mea-
463sured at each site. However, some weak patterns were
464noted. Lambda appeared to decrease as the number of
465weeks adequate soil moisture increased (Fig. 7), and to
466increase with increasing winter mean minimum tempera-
467ture (Fig. 8). Winter minimum temperature appeared to
468have some influence on k, in that the only sites where k\1
469had the lowest measured minimum temperature (-29.5 �C,
470Fig. 8). Lambda did not show any notable relationships
471with any soil characteristics (Fig. 9). The highest value of k472was observed at the lowest value of vegetation cover
473(excluding L. dalmatica), the lowest value of percent litter
474cover, and the highest value of percent bare ground
475(Fig. 10).
476Discussion
477Associations between vital rates and the environment
478Several of the vital rates for L. dalmatica were influenced
479by climate and environmental predictors, as has been
Fig. 2 Mean transition rates for each L. dalmatica site. Error bars represent 95 % confidence interval for the mean. For site ID, the first number
is the elevation transect identifier, and the second number is the site identifier (1 low elevation, 2 mid elevation, 3 high elevation). n = 36
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Table 2 Environmental and climate characteristics of the nine C. miniata study sites
Site 1_1 1_2 1_3 2_1 2_2 2_3 3_1 3_2 3_3
Bare ground (%) 0.0 21.5 29.8 1.5 2.3 5.0 0.3 0.0 3.5
Canopy closure (%) 39.4 26.3 33.2 47.6 35.4 12.0 43.8 77.4 60.5
Elevation (m) 2096 2683 2812 2151 2303 2368 2159 2183 2239
Growing degree (days)* NA 432.3 337.0 667.8 769.9 507.5 913.0 723.4 NA
Gs. frost free (days) NA 76 63 85 83 81 88 86 NA
Gs. mean min. temperature (�C) NA 4.7 4.1 4.3 4.8 3.9 5.5 4.2 NA
Gs. min. temperature (�C) NA -3.5 -2.5 -3.5 -3.5 -3.3 -2.8 -2.5 NA
Litter cover (%) 27.2 29.2 46.0 16.8 23.2 21.2 21.8 32.5 26.8
pH 6.3 6.0 6.0 6.9 6.2 6.4 6.3 6.4 5.8
Precipitation (cm) NA NA NA 9.3 11.3 15.7 7.7 6.6 10.2
Soil nitrogen (ppm) 1.0 3.5 4.5 2.5 7.5 5.0 9.5 0.5 1.5
Soil organic matter (%) 9.3 6.6 4.0 6.2 9.0 7.3 11.4 7.2 27.2
Soil phosphorous (ppm) 16.0 52.0 30.0 4.0 17.0 33.0 29.0 40.0 18.0
Soil potassium (ppm) 258.0 603.0 316.0 238.0 400.0 358.0 471.0 371.0 372.0
Vegetation cover (%) 95.4 51.8 25.8 89.6 84.1 85.1 86.2 77.1 72.3
Weeks of ad. soil moist. 8.0 9.0 9.5 9.5 8.5 12.0 9.5 11.0 12.0
Wint. frost (days) 256.5 246.0 243.5 242.0 238.5 245.0 227.0 206.0 226.0
Wint. mean min. temperature (�C) -8.6 -4.2 -3.0 -7.5 -3.8 -6.8 -1.4 -3.2 -1.8
Wint. min. temperature (�C) -33.5 -29.0 -21.3 -30.0 -22.0 -30.0 -22.0 -19.0 -17.5
For site, the first number is the transect identifier, and the second number is the site identifier (1 low elevation, 2 middle elevation, 3 high elevation)
Gs growing season, Wint. winter, min. temperature minimum temperature, ad. soil moist adequate soil moisture (C-1.5 MPa), NA not available dueto failure of data logger
* Calculated with base 10 �C
Fig. 3 Mean vital rates for each C. miniata site. Error bars represent 95 % confidence interval for the mean. For site ID, the first number is the
transect identifier, and the second number is the site identifier (1 low elevation, 2 mid elevation, 3 high elevation). n = 36
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480 shown for other plant species along environmental gradi-
481 ents (Mack and Pyke 1984; Carlsson and Callaghan 1994;
482 Chambers et al. 2007; Purves 2009; Eckhart et al. 2011;
483 Gimenez-Benavides et al. 2011). As we had hypothesized,
484 L. dalmatica vital rates were associated with variation in
485 climatic and environmental conditions to a greater extent
486 than those of the closely related native species C. miniata.
487 This is most likely due to the difference in the level of
488 adaptation of each species to its environment (Eckhart et al.
489 2011 and references therein) based on the length of time
490 that each species has had to adapt to conditions within its
491 current range.
492 The fact that the vital rates for C. miniata did not seem
493 to be as influenced by climatic or environmental variables
494 is not surprising. Climatic conditions varied less during the
495 study within C. miniata’s current range than in the range of
496 L. dalmatica (F.W. Pollnac and L.J. Rew, unpublished
497 data). Notably, winter minimum temperatures were stable
498 within C. miniata’s range (F.W. Pollnac and L.J. Rew,
499 unpublished data). Thus, perhaps the lack of variability in
500 vital rates based on climate and environmental conditions
501 is due in part to the fact that these conditions were less
502 variable over the surveyed range for C. miniata than they
503were for L. dalmatica. This would suggest that C. miniata,
504having had more time to equilibrate within its range by
505going through colonization and extinction events, has
506occupied a geographic range where its vital rates are rel-
507atively stable due to more constant climatic conditions. It is
508also possible that C. miniata has had time to adapt to the
509variability present within its current range such that its vital
510rates can remain stable in spite of climatic variation, as has
511been hypothesized by Eckhart et al. (2011). Although we
512cannot formally test either of these hypotheses, our data
513suggest that it is a combination of both, given that there
514was less variability in most (but not all) of the climatic
515conditions along this species’ elevation range (F.W. Poll-
516nac and L.J. Rew, unpublished data), and that whatever
517variability there was did not seem to affect the vital rates of
518the species to any great extent. In contrast, L. dalmatica is a
519relative newcomer to the area, and therefore its vital rates
520may be more susceptible to climatic/environmental varia-
521tions because it has not had time to either adapt or go
522extinct in marginal environments where its vital rates may
523be adversely affected. This generally reflects the concept of
524the taxon cycle which states that species with longer resi-
525dence times tend to exhibit contracted ranges in interior
Fig. 4 Number of cases from a
1000 iteration boot-strap
procedure where vital rate best
models from stepwise AIC
model selection contained
different numbers of
environmental and climatic
variables for Castilleja miniata
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Table 3 Frequency with which the listed variables (top row) were included in best models for each dependent variable
Dependent
variable
Gs. mean min.
temperature (�C)
Polynominal Gs.
mean min. temperature (�C)
Wint. mean min.
temperature (�C)
Gs. frost free
(days)
Wint. frost
(days)
L. dalmatica Stem production 0.33 0.00 0.08 0.04 0.00
Spring survival 0.42 0.00 0.23 0.09 0.00
Fall survival 0.74 0.00 0.50 0.25 0.03
Vegetative reproduction 0.71 0.00 0.45 0.27 0.03
Seed production 0.40 0.03 0.11 0.00 0.00
Transition to flowering 0.47 0.44 0.22 0.00 0.00
C. Miniata Stem production 0.06 0.00 0.00 0.00 0.00
Spring survival 0.07 0.00 0.06 0.04 0.00
Fall survival 0.22 0.00 0.20 0.09 0.00
Seed production 0.54 0.00 0.37 0.02 0.00
Transition to flowering 0.08 0.00 0.10 0.07 0.00
Model selection was performed for 1000 bootstrapped replicates using a stepwise selection procedure with backward and forward selection based
on AIC
Gs growing season, Wint. winter, min. temperature minimum temperature
Fig. 5 Number of cases from a
1000 iteration boot-strap
procedure where vital rate best
models from stepwise AIC
model selection contained
different numbers of
environmental and climatic
variables for Linaria dalmatica
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526habitats whereas colonizing/ruderal species exhibit expan-
527ded ranges in marginal habitats (Wilson 1959). It also
528suggests that if climate were to change in the future, L.
529dalmatica’s range would be less likely to shrink (with its
530comparably broader tolerance to a variety of climatic
531conditions, including temperature) than would C.
532miniata’s.
533Population growth rate of Linaria dalmatica and its
534potential to spread to higher elevations
535There was no decrease in k with increased elevation as we
536had hypothesized. The lack of a decrease in k at the current
537high elevation limit of this species suggests that it may not
538yet have reached the limits of its potential range (Gaston
5392003). However, there was weak evidence that k for this
540species was influenced by some of the measured climate or
541environmental variables. In addition, although overall seed
542production for L. dalmatica increases with elevation, ger-
543mination rates decrease at the highest elevations (F.W.
544Pollnac and L.J. Rew, unpublished data). These results
Fig. 6 Boxplots of the distribution of the projected growth rate (k)
values for L. dalmatica by site (site ID) from a parametrically
bootstrapped matrix, based on estimated plot and year variance
components. n = 1000 for each site. For site ID, the first number is
the transect identifier, and the second number is the site identifier (1
low elevation, 2 mid elevation, 3 high elevation)
Fig. 7 Boxplots of distribution of growth rate (k) values for L. dalmatica by elevation and growing season climate variables from a
parametrically bootstrapped matrix, based on estimated plot and year variance components
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545 suggest that: (1) dispersal (Eckhart et al. 2011) and/or
546 propagule pressure may not be the primary limit to this
547 species’ current range, and (2) there may still be some
548 climatic limit which is preventing the seeds of this species
549 from germinating and/or seedlings from establishing at
550 higher elevations.
551 The general lack of strong relationships between k and
552 many of the measured climate variables suggests that L.
553 dalmatica may be able to tolerate a broad range of climatic
554 conditions. Other studies have suggested that non-native
555 plants which successfully invade mountain systems must
556 be broadly adapted to cope with the variable climatic
557 conditions found along the elevation gradients in these
558 areas (Alexander et al. 2011). However, winter minimum
559 temperature had an interesting relationship with k, in that
560 the only sites where k \ 1 corresponded to the lowest
561 measured winter minimum temperature. This suggests that
562 this species may only be broadly adapted to a point, and
563 that success of this species above its current elevation
564range may be limited by extremely low winter tempera-
565tures, as is common with plants in cold environments
566(Stocklin and Baumler 1996; Hobbie and Chapin 1998).
567Anything that would tend to increase winter temperatures,
568be it insulation due to increased snow pack or increased air
569temperatures under a warming climate, may favor the over
570winter survival of this species. Given the sensitivity of
571population levels to the over-winter survival rate (data not
572shown), this could result in large increases in population
573size. We have hypothesized that the location of this sur-
574vival barrier could be shifted in the future based on
575increased snow pack prior to extremely cold temperature
576events and/or a warming climate. However, properties of
577the vegetative community also appear to be exerting
578influence on k of L. dalmatica throughout its current ele-
579vation range.
580Population growth appeared to increase with decreased
581number of weeks of adequate soil moisture. Those sites
582with more persistent soil moisture generally had higher
583levels of vegetative cover and lower levels of bare ground
584(Table 1). The fact that the highest value of k for this
585species occurred where both vegetation and litter cover
586were the lowest and where percent bare ground was the
587highest suggests that the relationship between k and weeks
588of adequate soil moisture is related to increased growth of
589other vegetation and consequent litter production. These
590patterns suggest that while the current range of establish-
591ment of this species may be limited by climate, established
592populations may be primarily limited by characteristics of
593the vegetative community. Robocker (1974) noted that this
594species has low competitive ability in established perennial
595communities. Other studies have also shown negative
596associations between single non-native species abundances
597and vegetative community characteristics such as native
598species richness (Knight and Reich 2005) or native species
599diversity (Ortega and Pearson 2005), and that increased
600plant litter can decrease establishment of non-native plants
601(Hager 2004; Bartuszevige et al. 2007). Our results follow
602the same pattern, which suggests that if areas within or just
603outside of L. dalmatica’s current range in the GYE were to
604become more disturbed, which increases bare ground, this
605species would be likely to expand its range and/or the
606extent of current populations as a result.
607In the absence of establishment limitations, the lack of
608any strong climate/environmentally induced trends in k609suggests that this species could potentially spread outside
610of its present range under current climatic conditions. The
611lack of a consistent decrease in k at the upper elevation
612limits of this species is further evidence of this. Addi-
613tionally, while germination of seeds from high elevation
Fig. 8 Boxplots of distribution of growth rate (k) values for L.
dalmatica by winter climate variables from a parametrically boot-
strapped matrix, based on estimated plot and year variance
components
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614 sources was lower, the fact that propagule pressure for this
615 species is not constrained at higher elevations suggests that
616 it could successfully spread upward in the absence or
617 reduction of climatic barriers (F.W. Pollnac and L.J. Rew,
618 unpublished data). It is still possible that climate may be
619 limiting the establishment of L. dalmatica above its current
620 elevation limits, but our current data do not provide con-
621 clusive evidence of this. In the future, more specific tests of
622 germination, establishment, and survival need to be con-
623 ducted to test the hypothesis that this species is currently
624 experiencing an establishment based climatic limit to fur-
625 ther spread to higher elevations.
626 Although established L. dalmatica plants are viewed as
627 competitive, in that increased L. dalmatica density has
628 been shown to be associated with decreased density of
629 other plants (Robocker 1974; Wilson et al. 2005), whether
630 or not this species is capable of displacing other vegetation
631 is still questionable. Seedlings were rare in this study, and
632 are noted to not be particularly competitive with estab-
633 lished vegetation (Gates and Robocker 1960; Robocker
6341974) so this species may have difficulty establishing in
635heavily vegetated areas. However, the alpine zone is sub-
636ject to frequent natural soil disturbances (e.g., frost heaving
637and animal burrowing), is relatively sparse in established
638vegetation, and is likely to experience increased anthro-
639pogenic disturbance in the future. Thus, in the absence of
640climate constraints, the alpine/subalpine zone would seem
641to be an ideal habitat for potential L. dalmatica establish-
642ment. Since L. dalmatica has been shown to be broadly
643adapted and we have not been able to provide any con-
644clusive evidence of climatic limitation for this species,
645populations at its upper range limits should not be ignored
646in management efforts. In addition, areas above its current
647elevation range should be surveyed frequently for the
648presence of this species in order to prevent the spread of
649this species into higher elevation environments. Due to the
650sensitive nature of alpine habitats and the large proportion
651of plant diversity and endemic species contained therein
652(Korner et al. 2011), the impacts of non-native plant spe-
653cies in these areas could be particularly harsh. This, in
Fig. 9 Boxplots of distribution of growth rate (k) values for L. dalmatica by environmental variables from a parametrically bootstrapped matrix,
based on estimated plot and year variance components
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654 itself, may be enough justification to increase efforts to
655 limit invasions of non-native plant species, such as L.
656 dalmatica, into these areas.
657 Acknowledgments We would like to thank the Strategic Environ-658 mental Research and Development Program (project RC 1545), NRI659 2009-55320-05033, and NSF (GK-12 Grant # 0440594) for providing660 funding for this project. We would also like to thank the United States661 Forest Service and the National Park Service for their cooperation.662 Thanks to the MIREN consortium and the MSU Weed and Invasive663 Plant Ecology and Management group for their input and support. We664 would like to thank 2 anonymous reviewers for their help in665 improving this manuscript, and Tyler Brummer for his assistance with666 R. Finally, we would also like to thank Adam, Barb, Alex, Kim,667 Landon, Curtiss, Jordan, and Mel C for assistance in the field.
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